Concept explainers
Whether the statement, “if f is continuous at 5 and
Answer to Problem 13RQ
The statement is true.
Explanation of Solution
Theorem used: If f is continuous at b and
Calculation:
Given that, f is continuous at 5 and
Here, f is a composition of two functions.
Take
Obtain the limit of the function
Here,
Thus,
Since f is continuous at 5 and
Substitute
Hence, the required proof is obtained.
Note that,
Thus, the given statement is true.
Chapter 2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning